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Finding the Third Proportional to 32,902 and 71,575

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Solution

The third proportional to 32,902 and 71,575 is: 155,704.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,902 : 71,575 = 71,575 : x
  2. Step 2: Convert to fraction form
    32,902/71,575 = 71,575/x
  3. Step 3: Cross multiply
    32,902x = 71,575 × 71,575
  4. Step 4: Simplify right side
    32,902x = 5,122,980,625
  5. Step 5: Solve for x
    x = 5,122,980,625/32,902
  6. Step 6: Final answer
    x = 155,704.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.